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Finding the Fourth Proportional to 563,364.84, 844,456.74 and 208,152.30

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Solution

The fourth proportional to 563,364.84, 844,456.74 and 208,152.30 is: 312,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,364.84 : 844,456.74 = 208,152.30 : x
  2. Step 2: Convert to fraction form
    563,364.84/844,456.74 = 208,152.30/x
  3. Step 3: Cross multiply
    563,364.84x = 844,456.74 × 208,152.30
  4. Step 4: Simplify right side
    563,364.84x = 175,775,612,681.50
  5. Step 5: Solve for x
    x = 175,775,612,681.50/563,364.84
  6. Step 6: Final answer
    x = 312,010.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.